CERTAIN SUBCLASS OF UNIVALENT FUNCTIONS ASSOCIATED WITH M-SERIES BASED ON q-DERIVATIVE

CERTAIN SUBCLASS OF UNIVALENT FUNCTIONS ASSOCIATED WITH M-SERIES BASED ON q-DERIVATIVE

S. Najafzadeh

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Abstract

By applying the q{derivative, M{series, convolution an subordination struc- tures, we introduce a new subclass of univalent functions. For this subclass of functions, we obtain coecient inequality, convexity and convolution preserving property. Some consequences of geometric properties are also considered.

Keywords

M{series, q{derivative, Convolution, Univalent function, Radii of starlikeness and convexity.